Explain each of these Marxian equations, relating them to his analysis of the “law of motion” of capitalism:

a) Value = c+v+s

b) s'= s/v

c) Q= c/(c+v)

d) p' = s'(1-Q)

6a. Let V be a finite dimensional space, and let Land T be two linear maps on V. Show that LT and TL have the same eigenvalues.

6b. Show that the result from part A is not necessarily true if V is infinite dimensional.

Please write in detail neatly. Kindly don't use any symbols and shortcut words. Please write the formula appropriately. The question is:

Consider an unbiased 4-sided die where the sides are numbered 1, 2, 3, 4, and a biased coin with probability of head P(H) =4 divided by 7. A chance experiment consists of rolling the die once and then tossing the coins many times as the number showing on the die. Let X represent the outcome of the roll of the die, and let Y represent the number of heads observed after tossing the coin. Below, find each of the following:

a. R(X) and R(Y)

b. Give the distribution of X. What is the name of this distribution?

c. What is the name of the conditional distribution P(Y | X = 2). Give this distribution.

d. Give the conditional expectation E[Y | X = 2].

e. Give the joint distribution of the random vector < X, Y >.

f. Give P(Y = 3).

g. Give P(X = 2 | Y = 2).

h. Give E[E[Y|X]].

Please explain to me about "unbiased 4-sided die" and "a biased coin." I just need to understand the meaning of them. Could you please give two examples so that I can understand easily?

Use the following scenario and data to answer questions 12.1 – 12.5. A researcher is interested in how many days it takes athletes to recover from jet lag when they have had to fly a long distance. It is commonly known that traveling east (moving “ahead” in time) leads to more serious jet lag than travelling west. The researcher finds 18 professional athletes who just travelled a long distance; six stayed in the same time zone, six travelled west, and six travelled east.

12.1 Calculate the sum of squares for each treatment condition (SHOW WORK)

SS_w =                                         SS_e =                                          SS_s =

12.2 What is the value of N in this experiment?

12.3 What number should appear in the denominator of your F-ratio? (I want the actual number, not the name of it)

12.4 What number should appear in the numerator of your F-ratio? (I want the actual number, not the name of it) (SHOW WORK)

12.5 Do the data show a significant difference in jet lag depending on the direction of travel? Use a two-tailed test and alpha = .05.

Plant asset accounting: During 2016 and 2017, ABC Corporation experienced several transactions involving plant assets. A number of errors were made in recording some of these transactions. For each item listed on the attached file, indicate the effect of the error (if any) using the following codes:                        O = Overstate; U = Understate; NE = No Effect *

*If no error was made, write NE in each of the four columns.

Interest cost qualifying for capitalization in 2016 was charged to interest expense in 2016.

Suppose you were designing two experiments to measure the same quantity “Y”. Through analysis of both experimental systems, found; Experiment 1, Y depends on a X2 , and for Experiment 2, Y depends on Z4. Here, “X” and “Z” are names of variables that you can measure in the lab. If you have the same amount of resources to perform and equal number of measurements, which experiment should you perform (there is a correct answer here!). Explain your rationale

There are 7 balls in a bag. They are identical except for color. 3 are red, 2 are white and 2 are blue. You are to draw 1 ball from the bag, note its color, and set it aside. Then you are to draw a second ball from the bag and note its color.

a. Make a tree diagram to show all possible outcomes of the experiment. Label the probability associated with each stage of the experiment on the appropriate branch.

b. Compute the probability for each outcome of the experiment.

A professor believes that students who have the opportunity to write their essays on word processors will produce better essays than those who write them by hand. Design an experiment that tests this idea.

1. Do you need to define any terms for your experiment (operationally define)? If so, define them here.

2. What purpose would this line of research serve (and which subgroup do you think this experiment would most closely relate with)?

For H₂O, determine the specified property at the indicated state.

(a) T = 140°C, v = 0.5 m³/kg. Find p, in bar.
(b) p = 30 MPa, T = 120°C. Find v, in m³/kg.
(c) p = 10 MPa, T = 450°C. Find v, in m³/kg.
(d) T = 80°C, x = 0.8. Find p, in bar, and v, in m³/kg.

1. The following data were collected in a kinetics experiment for the disproportionation of A₂ in a buffered solution: 3 A₂ -> products

The "generic" rate law for the reaction is rate = k[A₂]^p

Plot the data according to the method described in this experiment to determine p, the order of the reaction with respect to A₂. (Hint: The reaction order is not a whole number. Round the order to 2 significant figures.) ****I think the initial concentration of A₂ must be calculated from the data given?? I am not sure how to proceed. This is all the information I have. *****

5. How is the order of the reaction with respect to H₂O₂ determined in the experiment

a. chemically?

b. graphically?

6. Explain how the rate constant, k^', is determined for the rate law in the experiment.

7. Explain how the activation energy, E_a, is determined for the reaction in the experiment.